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445053101264 = 24173894206233
BaseRepresentation
bin1100111100111110011…
…10110110010011010000
31120112202111221001021222
412132133032312103100
524242432043220024
6540242104304212
744103554641322
oct6363716662320
91515674831258
10445053101264
11161822967192
1272307472068
1332c78552345
141777d8d5612
15b89bd2585e
hex679f3b64d0

445053101264 has 40 divisors (see below), whose sum is σ = 915360643080. Its totient is φ = 208898306048.

The previous prime is 445053101263. The next prime is 445053101291. The reversal of 445053101264 is 462101350544.

It can be written as a sum of positive squares in 4 ways, for example, as 119135425600 + 325917675664 = 345160^2 + 570892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445053101263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1997309 + ... + 2208924.

It is an arithmetic number, because the mean of its divisors is an integer number (22884016077).

Almost surely, 2445053101264 is an apocalyptic number.

It is an amenable number.

445053101264 is an abundant number, since it is smaller than the sum of its proper divisors (470307541816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445053101264 is a wasteful number, since it uses less digits than its factorization.

445053101264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206647 (or 4206641 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 445053101264 in words is "four hundred forty-five billion, fifty-three million, one hundred one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 389 778 1556 3112 6224 6613 13226 26452 52904 105808 4206233 8412466 16824932 33649864 67299728 71505961 143011922 286023844 572047688 1144095376 1636224637 3272449274 6544898548 13089797096 26179594192 27815818829 55631637658 111263275316 222526550632 445053101264